We discuss Taubes' idea to perturb the monopole equations on symplectic manifolds to compute the Seiberg-Witten invariants in the light of Witten's symmetry trick in the Kähler case.
@article{bwmeta1.element.bwnjournal-article-bcpv39z1p89bwm, author = {Mohnke, Klaus}, title = {On Seiberg-Witten equations$\omicron$n symplectic 4-manifolds}, journal = {Banach Center Publications}, volume = {38}, year = {1997}, pages = {89-104}, zbl = {0883.57033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p89bwm} }
Mohnke, Klaus. On Seiberg-Witten equationsοn symplectic 4-manifolds. Banach Center Publications, Tome 38 (1997) pp. 89-104. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p89bwm/
[000] [A] M. Audin, Exemples de variétés presque complexes, Enseign. Math. (2) 37 (1991), 175-190. | Zbl 0736.53036
[001] [BGV] N. Berline, E. Getzler, M. Vergne, Heat Kernels and the Dirac Operators, Grundlehren der Mathematischen Wissenschaften, Springer 1991.
[002] [FM] R. Friedman, J. W. Morgan, Algebraic surfaces and Seiberg-Witten invariants, alg-geom/9502026, 1995.
[003] [F] Th. Friedrich, Neue Invarianten der 4-dimensionalen Mannigfaltigkeiten, SFB 288-Preprint 156, 1995.
[004] [G] M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347. | Zbl 0592.53025
[005] [KM] P. B. Kronheimer, T. S. Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994), 797-808. | Zbl 0851.57023
[006] [LB] C. LeBrun, Einstein Metrics and Mostow Rigidity, Math. Res. Lett. 2 (1995), 1-8.
[007] [D] D. McDuff, Rational and ruled symplectic 4-manifolds and Erratum, J. Amer. Math. Soc. 3 (1992), 988-997. | Zbl 0799.53039
[008] [T] C. H. Taubes, The Seiberg-Witten Invariants and Symplectic Forms, Math. Res. Lett. 1 (1994), 809-822. | Zbl 0853.57019
[009] [T1] C. H. Taubes, More Constraints on Symplectic Forms from Seiberg-Witten Invariants, Math. Res. Lett. 2 (1995), 9-14. | Zbl 0854.57019
[010] [T2] C. H. Taubes, The Seiberg-Witten and the Gromov invariants, Math. Res. Lett. 2 (1995), 221-238. | Zbl 0854.57020
[011] [W] E. Witten, Monopoles and 4-Manifolds, Math. Res. Lett. 1 (1994), 769-796. | Zbl 0867.57029